Applications of cluster analysis to the creation of perfectionism profiles: a comparison of two clustering approaches

Although traditional clustering methods (e.g., K-means) have been shown to be useful in the social sciences it is often difficult for such methods to handle situations where clusters in the population overlap or are ambiguous. Fuzzy clustering, a method already recognized in many disciplines, provides a more flexible alternative to these traditional clustering methods. Fuzzy clustering differs from other traditional clustering methods in that it allows for a case to belong to multiple clusters simultaneously. Unfortunately, fuzzy clustering techniques remain relatively unused in the social and behavioral sciences. The purpose of this paper is to introduce fuzzy clustering to these audiences who are currently relatively unfamiliar with the technique. In order to demonstrate the advantages associated with this method, cluster solutions of a common perfectionism measure were created using both fuzzy clustering and K-means clustering, and the results compared. Results of these analyses reveal that different cluster solutions are found by the two methods, and the similarity between the different clustering solutions depends on the amount of cluster overlap allowed for in fuzzy clustering.

[1]  Mohammed Ameer Ali,et al.  On Fuzzy Clustering Algorithms , 2008 .

[2]  Jianhong Wu,et al.  Data clustering - theory, algorithms, and applications , 2007 .

[3]  P. Gaudreau,et al.  Testing a 2 × 2 model of dispositional perfectionism , 2010 .

[4]  Douglas Steinley,et al.  Local optima in K-means clustering: what you don't know may hurt you. , 2003, Psychological methods.

[5]  Eivind Hovig,et al.  Tumor classification and marker gene prediction by feature selection and fuzzy c-means clustering using microarray data , 2003, BMC Bioinformatics.

[6]  Elizabeth Ann Maharaj,et al.  Fuzzy clustering of time series in the frequency domain , 2011, Inf. Sci..

[7]  C. P. Lim,et al.  Fuzzy clustering of color and texture features for image segmentation: A study on satellite image retrieval , 2006, J. Intell. Fuzzy Syst..

[8]  W. Parker,et al.  An Empirical Typology of Perfectionism in Academically Talented Children , 1997 .

[9]  Joachim Stoeber,et al.  Self-Oriented and Socially Prescribed Perfectionism: Differential Relationships With Intrinsic and Extrinsic Motivation and Test Anxiety , 2009 .

[10]  Lewis R Goldberg,et al.  Replicability and 40-year predictive power of childhood ARC types. , 2011, Journal of personality and social psychology.

[11]  Malcolm James Beynon,et al.  Organizational Form and Strategic Alignment in a Local Authority: A Preliminary Exploration using Fuzzy Clustering , 2011 .

[12]  K. Rice,et al.  Perfectionism and Self-Development: Implications for College Adjustment. , 2002 .

[13]  Tony H. Grubesic,et al.  On The Application of Fuzzy Clustering for Crime Hot Spot Detection , 2006 .

[14]  K. Rice,et al.  Self-Criticism, Dependency, Self-Esteem, and Grade Point Average Satisfaction Among Clusters of Perfectionists and Nonperfectionists. , 2004 .

[15]  P. Hewitt,et al.  Perfectionism in the self and social contexts: conceptualization, assessment, and association with psychopathology. , 1991, Journal of personality and social psychology.

[16]  Abdulkadir Sengür,et al.  Comparison of clustering algorithms for analog modulation classification , 2006, Expert Syst. Appl..

[17]  Francisco Javier de Cos Juez,et al.  Bankruptcy forecasting: A hybrid approach using Fuzzy c-means clustering and Multivariate Adaptive Regression Splines (MARS) , 2011, Expert Syst. Appl..

[18]  W. Allen An evaluation of the factor structure, reliability and construct validity of the male role norms inventory---Revised for African American men , 2015 .

[19]  J. A. Hartigan,et al.  A k-means clustering algorithm , 1979 .

[20]  Pierpaolo D'Urso,et al.  A Fuzzy Clustering Model for Multivariate Spatial Time Series , 2010, J. Classif..

[21]  D. Hamachek Psychodynamics of normal and neurotic perfectionism. , 1978 .

[22]  J. Ashby,et al.  Multidimensional Perfectionism and Obsessive‐Compulsive Behaviors , 2005 .

[23]  Sungsoon Hwang,et al.  Delineating Urban Housing Submarkets with Fuzzy Clustering , 2009 .

[24]  Brian Everitt,et al.  Cluster analysis , 1974 .

[25]  Ashish Ghosh,et al.  Fuzzy clustering algorithms for unsupervised change detection in remote sensing images , 2011, Inf. Sci..

[26]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[27]  J. Pallant,et al.  An Evaluation of the Factor Structure of the Frost Multidimensional Perfectionism Scale , 2004 .

[28]  Peter J. Rousseeuw,et al.  Finding Groups in Data: An Introduction to Cluster Analysis , 1990 .

[29]  Alan Julian Izenman,et al.  Modern Multivariate Statistical Techniques , 2008 .

[30]  Jason F. Schreer,et al.  Classification of Dive Profiles: A Comparison of Statistical Clustering Techniques and Unsupervised Artificial Neural Networks , 1998 .

[31]  Mohammed Al-Shalalfa,et al.  Cancer class prediction: Two stage clustering approach to identify informative genes , 2009, Intell. Data Anal..

[32]  B. Everitt,et al.  Cluster Analysis: Everitt/Cluster Analysis , 2011 .

[33]  Anna K. Lekova Evolving Fuzzy Modeling for MANETs Using Lightweight Online Unsupervised Learning , 2010, Int. J. Wirel. Inf. Networks.

[34]  Aly A. Farag,et al.  A modified fuzzy c-means algorithm for bias field estimation and segmentation of MRI data , 2002, IEEE Transactions on Medical Imaging.

[35]  Robert Babuska Fuzzy Clustering Algorithms , 1998 .

[36]  Alan Julian Izenman,et al.  Modern Multivariate Statistical Techniques: Regression, Classification, and Manifold Learning , 2008 .

[37]  Antonio Morillas,et al.  A Fuzzy clustering approach to the key sectors of the Spanish economy , 2006 .

[38]  P. Gaudreau The 2 × 2 model of perfectionism: Commenting the critical comments and suggestions of Stoeber (2012) , 2013 .

[39]  K. Varjas,et al.  The relationship between perfectionism and multidimensional life satisfaction among Croatian and American youth , 2005 .

[40]  Ali S. Hadi,et al.  Finding Groups in Data: An Introduction to Chster Analysis , 1991 .

[41]  J. Trippi,et al.  The Revised Almost Perfect Scale , 2001 .

[42]  M. Antony,et al.  Psychometric properties of the frost multidimensional perfectionism scale in a clinical anxiety disorders sample. , 1999, Journal of clinical psychology.

[43]  R. Frost,et al.  The dimensions of perfectionism , 1990, Cognitive Therapy and Research.

[44]  Kathleen Otto,et al.  Positive Conceptions of Perfectionism: Approaches, Evidence, Challenges , 2006, Personality and social psychology review : an official journal of the Society for Personality and Social Psychology, Inc.

[45]  K. Rice,et al.  Cultural validity of the Almost Perfect Scale--Revised for African American college students. , 2005 .

[46]  Ray G. Gosine,et al.  Application of a fuzzy classification technique in computer grading of fish products , 1998, IEEE Trans. Fuzzy Syst..

[47]  A. Burak Göktepe,et al.  Soil clustering by fuzzy c-means algorithm , 2005, Adv. Eng. Softw..